Locational equilibrium of two facilities on a tree

On considere la localisation de deux installations sur un arbre. En particulier, des conditions pour l'existence d'un equilibre y sont developpees. On y decrit de plus une procedure efficace pour la determination d'un tel equilibre lorsqu'il en existe un. En deuxieme lieu, on etudie les conditions d'existence du «paradoxe du premier joueur», selon lequel le premier joueur ne possede pas necessairement un avantage sur son adversaire. On etablit finalement des relations entre l'existence de ce paradoxe et celle d'un equilibre de Nash

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